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103252156007 = 711132371311637
BaseRepresentation
bin110000000101001001…
…1101101111001100111
3100212111211010222121012
41200022103231321213
53142430022443012
6115233340012435
710313453562620
oct1401223557147
9325454128535
10103252156007
113a875172040
1218016b3111b
13997650cb00
144dd6d44a47
152a449db622
hex180a4ede67

103252156007 has 96 divisors (see below), whose sum is σ = 144342342144. Its totient is φ = 71664652800.

The previous prime is 103252156003. The next prime is 103252156031. The reversal of 103252156007 is 700651252301.

It is not a de Polignac number, because 103252156007 - 22 = 103252156003 is a prime.

It is a super-2 number, since 2×1032521560072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103252156003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63073193 + ... + 63074829.

It is an arithmetic number, because the mean of its divisors is an integer number (1503566064).

Almost surely, 2103252156007 is an apocalyptic number.

103252156007 is a deficient number, since it is larger than the sum of its proper divisors (41090186137).

103252156007 is a wasteful number, since it uses less digits than its factorization.

103252156007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 103252156007 in words is "one hundred three billion, two hundred fifty-two million, one hundred fifty-six thousand, seven".

Divisors: 1 7 11 13 37 77 91 131 143 169 259 407 481 917 1001 1183 1441 1637 1703 1859 2849 3367 4847 5291 6253 10087 11459 11921 13013 18007 18733 21281 22139 33929 37037 43771 53317 60569 63011 68783 126049 131131 148967 154973 214447 234091 243529 276653 373219 423983 441077 481481 666259 693121 787397 819143 1501129 1638637 1704703 1936571 2358917 2787811 3043183 4663813 4851847 5511779 5734001 7934539 8661367 9010573 10236161 16512419 19514677 21302281 30665921 36241543 55541773 60629569 63074011 71653127 87279929 103149007 112597771 214661447 253690801 398656973 610959503 722043049 788184397 1134639077 1340937091 2790598811 7942473539 9386559637 14750308001 103252156007